I found the info that in summer 1941 Soviet Army had
44900 tractors and prime movers, but there were only near
10000 (20.5%) special army prime movers ("Komsomolets", "Komintern", "Voroshilovets", and artillery used only 26% of them, the rest were used by tank, mechanized and engineering units) and
15% consisted of special transport tractors (STZ-5, Stalinets-2, "Kommunar"). The rest
64.5% consisted of civil agricultural tractors (S-60, S-65, STZ-3).
Usually infanty division in 1941 had 99 tractors (21 half-armoured "Komsomolets" for 45mm AT guns, 5 transport tractors STZ-5 for 76mm AA guns, 48 agricultural STZ-3 for 122mm howitzers and 25 agricultural S-60/S-65 for 152mm howitzers). Interesting, that Soviet Army had more tractors than German Army (which used mainly horses at infantry divisional level) in 1941. Also Soviets used very widely civil trucks and horses for towing the cannons and howitzers.
Among all tractors and prime movers in Soviet Army (1941) only 82% were serviceable, the rest were under repair.
As for the STZ-NATI (STZ-3) I've mentioned above. It played a significant role as artillery prime mover during WWII, but also it was used as the base for the self-made tanks in 1941. Soviet army lost a huge amounts of tanks in summer 1941 and because of their great shortage Kharkov tractor factory developed and produced in 1941 several models of "tractor-tanks". Usual agricultural STZ-3 tractors were armored with light armor (10-25 mm) or even with boiler steel and were armed with 45mm tank guns from damaged light T-26 tanks + 1 MG. The suspension was strengthened also. 45mm gun was placed in the armored cabin and, of course, had very limited turning angle. Such model had official designation KhTZ-16. It was planned to produce 750 such "tractor-tanks" in August-September 1941, but only 50-60 were produced before the capturing of the plant by German Army in October 1941. Germans captured 809 tractor chassis also.
I couldn't find any detailed info about the use of KhTZ-16 in combats, only that they were used during the defence of Kharkov and almost all were lost.
Several tens of such "tractor-tanks" were produced also by Stalingrad tractor factory, they were used in combats till spring 1942.
Also 55-69 armored STZ-3/STZ-5 tractors (some with the turrets from T-26 light tanks) with light gun + 2 MGs were produced at settled Odessa during the autumn 1941. They were jesting named as "NI" ("Na Ispug" - "to cause consternation"

) They were used even quite successfully against Romanian infantry in 1941.
Photos of STZ-3 armored tractors:
http://armor.kiev.ua/Tanks/WWII/tractor/chark1.jpg (caterpiller damaged and abandoned)
http://armor.kiev.ua/Tanks/WWII/tractor/odess.jpg (Odessa, 1941 - note the "Maxim" turret MG)
http://www.kubinka-tank-inform.ru/tanks01/ni01b.jpg (preserved at Kubinka tank museum)
http://www.achtungpanzer.bos.ru/gallery ... nka109.jpg (the same preserved "NI")
http://travel.kyiv.org/kyiv/mvov/mvov14.jpg (preserved at Kiev WWII museum)